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Finding the Third Proportional to 4,693,049 and 11,302,094

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Solution

The third proportional to 4,693,049 and 11,302,094 is: 27,218,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,049 : 11,302,094 = 11,302,094 : x
  2. Step 2: Convert to fraction form
    4,693,049/11,302,094 = 11,302,094/x
  3. Step 3: Cross multiply
    4,693,049x = 11,302,094 × 11,302,094
  4. Step 4: Simplify right side
    4,693,049x = 127,737,328,784,836
  5. Step 5: Solve for x
    x = 127,737,328,784,836/4,693,049
  6. Step 6: Final answer
    x = 27,218,409.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.